G-essence cosmologies with scalar-fermion interactions

We study the two particular models of g-essence with Yukawa type interactions between a scalar field $ϕ$ and a classical Dirac field $ψ$. For the homogeneous, isotropic and flat Friedmann-Robertson-Walker universe filled with the such g-essence, some exact solutions of these models are found. Moreover, we reconstruct the corresponding scalar and fermionic potentials.

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